Finding the Third Proportional to 78,867 and 169,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,867 : 169,762.50 = 169,762.50 : x
2. Step 2: Convert to fraction form
   78,867/169,762.50 = 169,762.50/x
3. Step 3: Cross multiply
   78,867x = 169,762.50 × 169,762.50
4. Step 4: Simplify right side
   78,867x = 28,819,306,406.25
5. Step 5: Solve for x
   x = 28,819,306,406.25/78,867
6. Step 6: Final answer
   x = 365,416.54